# Trigonometry Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Trigonometry Question and Answer Set 1**. It will help you to practice the questions on the topics of trigonometry based questions with answers.

**Trigonometry Question and Answer Set 1: Ques No 1**

If tan = cot , then the value of sin + cos is

**Options:**

A. 0

B. 1

C. 2

D. Root(2)

**Answer: D**

**Trigonometry Question and Answer Set 1: Ques No 2**

If tan + cot = 2, then the value of tan^{200} + cot^{100} is

**Options:**

A. Root(3)

B. 1

C. 2

D. Root(2)

**Answer: C**

**Trigonometry Question and Answer Set 1: Ques No 3**

In a ΔABC, the angle B = π/3 and the angle C = π/4 and D divides BC internally in the ratio 1 : 3 then (sin ∠BAD) / (sin ∠CAD) is equal to

**Options:**

A. 1/Root(6)

B. 1/Root(2)

C. 1/Root(3)

D. 1/Root(5)

**Answer: A**

**Trigonometry Question and Answer Set 1: Ques No 4**

If sec + tan = 2, then the value of cos is

**Options:**

A. 3/5

B. 4/5

C. 5/3

D. 5/4

**Answer: B**

**Trigonometry Question and Answer Set 1: Ques No 5**

The smallest value of r for which 3sinx + 4cosx + r is always greater than or equal to 0 is

**Options:**

A. 3

B. 4

C. 5

D. -5

**Answer: C**

**Trigonometry Question and Answer Set 1: Ques No 6**

If tanϕ + sinϕ = m, tanϕ − sinϕ = n, Find the value of m^{2} – n^{2 }is

**Options:**

A. 2Root(mn)

B. 4Root(mn)

C. m – n

D. 2mn

**Answer: B**

**Trigonometry Question and Answer Set 1: Ques No 7**

If tan ϕ = 3/4, then the value of (1 – cos ϕ)/(1 + cos ϕ) is

**Options:**

A. 1/3

B. 1/9

C. 2/5

D. 3/8

**Answer: B**

**Trigonometry Question and Answer Set 1: Ques No 8**

The value of (1 + cos π/8) (1 + cos 3π/8) (1 + cos 5π/8)(1 + cos 7π/8) is

**Options:**

A. 1/2

B. 1/4

C. 1/5

D. 1/8

**Answer: D**

**Trigonometry Question and Answer Set 1: Ques No 9**

If cosA = cosBcosC, then the value of tan(A + B)/2 + tan(A – B)/2 is

**Options:**

A. tan^{2}A/2

B. tan^{2}B/2

C. tan^{2}C/2

D. cot^{2}A/2

**Answer: C**